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A note on the Poincaré inequality for Lipschitz vector fields of step two

Author(s): Maria Manfredini
Journal: Proc. Amer. Math. Soc. 138 (2010), 567-575.
MSC (2000): Primary 35A08, 35H20, 43A80; Secondary 35A17, 35J70
Posted: September 16, 2009
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Abstract: We provide a Poincaré inequality for families of Lipschitz continuous vector fields satisfying a Hörmander-type condition of step two.


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Additional Information:

Maria Manfredini
Affiliation: Dipartimento di Matematica, Università di Bologna, Piazza Porta S. Donato 5, 40126 Bologna, Italy
Email: manfredi@dm.unibo.it

DOI: 10.1090/S0002-9939-09-10054-0
PII: S 0002-9939(09)10054-0
Received by editor(s): August 30, 2008
Posted: September 16, 2009
Communicated by: Matthew J. Gursky
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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